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arXiv · 1504.06106

A Short Survey on Arithmetic Transforms and the Arithmetic Hartley Transform

R. J. Cintra·H. M. de Oliveira
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Abstract

Arithmetic complexity has a main role in the performance of algorithms for spectrum evaluation. Arithmetic transform theory offers a method for computing trigonometrical transforms with minimal number of multiplications. In this paper, the proposed algorithms for the arithmetic Fourier transform are surveyed. A new arithmetic transform for computing the discrete Hartley transform is introduced: the Arithmetic Hartley transform. The interpolation process is shown to be the key element of the arithmetic transform theory.

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R. J. Cintra, H. M. de Oliveira. 2015-04-23. A Short Survey on Arithmetic Transforms and the Arithmetic Hartley Transform. https://doi.org/10.14209/jcis.2004.2

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